The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?

Answers

Answer 1

Answer:

h = 28 inches

Step-by-step explanation:

Let the base of the triangle is b.

the height of the triangle is 4 inches less than four times its  base.

h = 4b-4

The area of the triangle is 112 inch².

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]

It is a quadratic equation, whose solution is as follows :

b = -7 and b = 8 inches

Height, h = 4(8)-4

= 32-4

= 28 inches

Hence, the height of the triangle is 28inches.


Related Questions

Identify the qualitative data in a given study.

A miles per gallon for different cars
B styles of different cars
C number of cars that are sold
D average price of cars sold

Answers

Answer:

b

Step-by-step explanation:

the styles of different cars are qualitative because it is not given a number, just the different styles.  

Hope this helps

A garden flower grows a total of 10 cm in July and August. Assuming that the flower grows at a consistent rate for a full year, how much will the flower grow in a year?

Answers

9514 1404 393

Answer:

  60 cm

Step-by-step explanation:

July and August are 2 of the 12 months in the year. The growth for the year can be expected to be 6 times the growth in a 2-month period, so 60 cm.

_____

You could get down to particulars as to the number of days in those two months versus the total number of days in a year. You would have to specify whether it is a leap year. In a non-leap year, the growth might be ...

  365/(31+31) × 10 cm ≈ 58.9 cm

In a leap year, it would be 59.0 cm.

Solve the equation s - 12 = 20. ?​

Answers

S= 22
Add 12 to both sides so 22

Answer:

s=32

Step-by-step explanation:

1. Move the constant to the right hand side and change it's sign so

s=20+12

2. Than calcuate s=20+12 which equals 32

so the solution is 32

Please answer all questions correct and fast for brainlest

Answers

Answer:

8. -3x+10

9. 9-4y

10. -7x+3

11. -3x+4+4y

Step-by-step explanation:

collect like terms :)

Answer:

8) -3x+10

9) 9-4y

10) -7x+3

11) -3x+4y+4

PLEASE HELPPP i would really appreciate it :)

Answers

Answer:

Y = - 12.55X1 + 276.52

Step-by-step explanation:

Given the data:

Age of child :(X) : 4, 6, 10, 13, 14, 17

Time (seconds) (Y) : 230, 205, 132, 119, 108, 62

Using technology, the linear regression equation obtained using the data Given is :

Y = - 12.55X1 + 276.52

Where :

Slope = - 12.55

Intercept = 276.52

This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.

2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly? ​

Answers

Answer:

Step-by-step explanation:

Guss

a street light is mounted at the top of a 15-foot pole. A 6-foot tall man walks away from the pole along a straight path. How long is his shadow when he is 40 feet from the pole

Answers

Answer:

[tex]x=26.67[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Pole [tex]h_p=15 foot[/tex]

Height of Man [tex]h_m =6ft[/tex]

Distance from Pole [tex]d_p=40ft[/tex]

Generally the equation for similar Property is mathematically given by

[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]

[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]

[tex]x=\frac{6*(40+x)}{15}[/tex]

[tex]x=\frac{240+6x}{15}[/tex]

[tex]x=16+0.4x\\x-0.4x=16[/tex]

[tex]x=16\0.6[/tex]

[tex]x=26.67[/tex]

Help!!!!!!!!!!! !!!!!

Answers

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

PLEASE HELP SOON
The diagram below shows vector v.
Given transformation matrix T = [-1 0 0 1], which diagram shows the application of T to v?
(pictures attached)

Answers

Answer:

A.

Step-by-step explanation:

[tex][6\:\:1]\begin{bmatrix}-1&0\\0&1 \end{bmatrix}=[6(-1) + 1(0)\:\:6(0)+1(1)]=[-6\:1][/tex]

Answer:

A on edge

Step-by-step explanation:

The unit rate of fragance a is $ , and the unit rate of fragrance b is $

Answers

Answer:

Table

Bottles Price($)

3           78

6           156

9           234

From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.

That means that the unit rate of this fragance is $26.

If you call x the number of bottles the equation is

Price = unit rate * number of bottles = 26x.

Now compare this information with that on your graph to compare the unit rates.

This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =

[change in y-coordinate] / [change in the x-coordinate]

Step-by-step explanation:

Answer:

3 and 78

Step-by-step explanation:

Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.

The graph is called a parabola and either opens up or down.

The x-intercepts can be found by factoring and using the zero product property.

The "C" term is the y-intercept of the graph.

Answers

Answer:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

Step-by-step explanation:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

The x-coordinate of the vertex is -b/(2a)

Help plz I don't wanna fail my diagnostic I already have full on C's I only have 1 week left I really need to go to the next grade :)​

Answers

Answer:

hundreds

Step-by-step explanation:

Hey can you somebody help me with this problem

Answers

Step-by-step explanation:

sinx=20/36

x=sin-¹20/36

x=34

A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value

Answers

Answer:

0.308

Step-by-step explanation:

Given the data:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6

The sample mean and standard deviation :

Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833

Sample standard deviation, s = 1.40 ( calculator)

Hypothesis :

H0 : μ = 2.4

H0 : μ ≠ 2.4

The test statistic :

(xbar - μ) ÷ (s/√(n))

(2.833 - 2.40) / (1.40/sqrt(12))

Test statistic = 1.0713

Using the Pvalue from Test score calculator :

df = n - 1 = 12 - 1 = 11

Pvalue(1.071, 11) two - tailed

= 0.3069

= 0.307

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8

Answers

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 14, p = 0.8[/tex]

P(x>10)

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]

[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]

[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]

[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]

[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]

So P(x > 10) = 0.6981.

What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?

Answers

Answer:

3rd option is the answer

Step-by-step explanation:

hope u understand


50 POINTS !

PLEASE HELP ILL GIVE BRAINLIEST !!

FAKE ANSWERS WILL GET REPORTED.

Answers

Answer:

2.6457513110645905905016157536393

Hope that this helps!

Answer:

2m is the answer for the missing leg

Step-by-step explanation:

The measure of an angle is 32.3°. What is the measure of its complementary angle?

Answers

A complementary angle is 90 degrees .

Answer:

57.8 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90

1. Adam opened a savings account with
$250. He saves $300 per month.
Mandy opened a savings account
with $750. She saves $200 per
month. How much more will Adam
have in his savings account after 12
months?

Answers

Answer:

$700

Step-by-step explanation:

Adam = 250 +300(12)=3850

Mandy = 750+200(12)=3150

3850-3150=700

final question of the 9 and with most of the point i can give so people dont pour in

Answers

Answer:

A=49 degree

a=13.5

b=11.7

Step-by-step explanation:

I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?

Answers

Answer:

Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.

Thank you for your help! Pls no links.

Answers

Answer:

Exactly 4 pitches: 15/100

= 0.15

In a survey 125 people, 90 people liked orange juice or grape juice. There are 62 people who like orange juice and 43 people who like grape juice. What is the probability that a randomly selected person likes both juices?

Answers

Answer:

0.12 = 12% probability that a randomly selected person likes both juices.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We solve this question treating these events as Venn probabilities.

I am going to say that.

Event A: Like orange juice.

Event B: Like grape juice.

In a survey 125 people, 90 people liked orange juice or grape juice.

This means that:

[tex]P(A \cup B) = \frac{90}{125}[/tex]

62 people who like orange juice and 43 people who like grape juice.

This means that:

[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]

What is the probability that a randomly selected person likes both juices?

This is [tex]P(A \cap B)[/tex], which is given by:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].

With the values in this problem:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]

0.12 = 12% probability that a randomly selected person likes both juices.

Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?

Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355

Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.

Answers

Answer:

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic = 3.96

Critical value = 1.67

Reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

Step-by-step explanation:

M= xbar1 = 191 ; M = xbar2 = 190 miles

n1 = 61 n2 = 61

s = 1.429 ; s2 = 1.355

Hypothesis :

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic :

(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]

(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]

1 ÷ √[(0.0334760) + (0.0300987)]

1 ÷ √0.0635747

1 ÷ 0.2521402

= 3.966

Degree of freedom :

df = n - 1

df = 61 - 1 = 60

Critical value :

Tcritical at 0.05%, df = 60

Tcritical = 1.67

Decision region:

Reject H0 if Tstatistic > Tcritical

Since ;

3.96 > 1.67 ; We reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

(HELP)What is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer

Answers

Answer:

26cm

Step-by-step explanation:

7+7+6+6=26

Answer:

26 cm

Step-by-step explanation:

7x2 because of 2 sides

12x2 because of 2 sides

14+12=26

Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.

Answers

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

what is 1/4 +1/4+1/2+1/4+1/2+1/8+1/8+1/2+1+1+1/4 simplified!!!!!

Answers

Answer:

[tex]4\frac{3}{4}[/tex]

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

What’s the answer and how do you figure these out?

Answers

you need to find the value of x that will make 4x = 2x (or in mathematical terms parallel. therefore the answer would be 0 since there is no other possible answer. hope this helps <3 make sure you eat today !

A right circular cone is a radius 5 inches and height 8 inch

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The given values are :

height (h) = 8 in

radius (r) = 5 in

We know,

[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]

[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex]

[tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex]

[tex]l = \sqrt{64 + 25} [/tex]

[tex]l = \sqrt{89}[/tex]

Now,

[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]

[tex]\pi \times 5 \times \sqrt{89} [/tex]

[tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]

Therefore the correct answer is :

D. 5π√89 in²

_________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

How to calculate the lateral area of the cone?

The formula for calculating the lateral area of the cone is expressed as:

V = 1/3πr²h

where:

r is the radiush is the height

Given the following

r = 5in

h = 8n

Substitute

L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)

Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

Learn more on lateral area here: https://brainly.com/question/1601740

PLS HELP 30 POINTS

If the dimensions of the following cylinder are tripled, what factor will the volume change by?



81
27
3
9

Answers

Answer: 27

Step-by-step explanation:

It 9 I know for sure it’s 9
Other Questions
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